- #1

jokerthief

- 4

- 0

One of the questions is:

Give an ε-δ proof that: lim (2x+5) = -1

x-->(-3)

I know from the definition of a limit that if 0<|x+3|<δ, then |2x+6|<ε. After doing some basic algebra, I know that δ = ε/2.

So how do I write a proof with this information? I know that I could probably just put what I know into words and get credit (in fact, my prof told me to do exactly that) but I want to know how to write a tight formal proof.